Phenomena of Brownian particle transport and diffusion in tilted periodic potentials are realized in many diverse systems.
Superionic conductors [1]}, magnetic ratchets [2]}, optical lattices [3]},
charge-density waves [4]}, granular gases, Josephson junctions, automatic phase-lock frequency control systems are some prominent examples [5]}.
These phenomena have been studied meticulously in recent decades [6]}, [7]}, [8]}.
